Commutative Harmonic Analysis III

V. P. Havin

ISBN 10: 3642633803 / ISBN 13: 9783642633805

Edité par Springer Berlin Heidelberg, Springer Berlin Heidelberg Okt 2012, 2012

A propos de cet article

This item is printed on demand - Print on Demand Titel. Neuware -The theory of generalized functions is a general method that makes it possible to consider and compute divergent integrals, sum divergent series, differentiate discontinuous functions, perform the operation of integration to any complex power and carry out other such operations that are impossible in classical analysis. Such operations are widely used in mathematical physics and the theory of differential equations, where the ideas of generalized func tions first arose, in other areas of analysis and beyond. The point of departure for this theory is to regard a function not as a mapping of point sets, but as a linear functional defined on smooth densi ties. This route leads to the loss of the concept of the value of function at a point, and also the possibility of multiplying functions, but it makes it pos sible to perform differentiation an unlimited number of times. The space of generalized functions of finite order is the minimal extension of the space of continuous functions in which coordinate differentiations are defined every where. In this sense the theory of generalized functions is a development of all of classical analysis, in particular harmonic analysis, and is to some extent the perfection of it. The more general theories of ultradistributions or gener alized functions of infinite order make it possible to consider infinite series of generalized derivatives of continuous functions.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 280 pp. Englisch.

N° de réf. du vendeur 9783642633805

Détails bibliographiques

• Titre: Commutative Harmonic Analysis III
• Éditeur: Springer Berlin Heidelberg, Springer Berlin Heidelberg Okt 2012
• Date de parution: 2012
• Langue: anglais
• ISBN à 10 chiffres: 3642633803
• ISBN à 13 chiffres: 9783642633805
• Reliure: Taschenbuch
• État de l'article: Neu

A propos de ce titre

Synopsis

This book covers three important topics in commutative harmonic analysis which is a branch of mathematics which has strong links with theoretical physics and signal processing. Hence, it addresses mathematicians, physicists and engineers working in these areas. The group of authors is outstanding.